TWI858369B - Cardiac assessment method and computer program product thereof - Google Patents
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Abstract
本發明提供一種心臟評估方法,包括以下步驟:提供一心電圖訊號;依據心電圖訊號得到一體表電位向量;將體表電位向量與預先建立的一映射張量進行運算得到一心臟電位向量,其中映射張量是依據一參考心臟產生複數個異常位置及複數種異常程度而得出;以及依據心臟電位向量對心電圖訊號對應的一評估心臟的異常位置以及異常程度進行分類。此外,本發明還提供可執行上述心臟評估方法的電腦程式產品。 The present invention provides a heart assessment method, comprising the following steps: providing an electrocardiogram signal; obtaining a body surface potential vector according to the electrocardiogram signal; calculating the body surface potential vector with a pre-established mapping tensor to obtain a heart potential vector, wherein the mapping tensor is obtained by generating a plurality of abnormal positions and a plurality of abnormal degrees according to a reference heart; and classifying the abnormal position and abnormal degree of an assessed heart corresponding to the electrocardiogram signal according to the heart potential vector. In addition, the present invention also provides a computer program product that can execute the above-mentioned heart assessment method.
Description
本發明提供一種心臟評估方法及電腦程式產品,且特別是關於一種適於早期預判以及療程追蹤的心臟評估方法以及可執行上述心臟評估方法的電腦程式產品。 The present invention provides a cardiac assessment method and a computer program product, and in particular, provides a cardiac assessment method suitable for early diagnosis and treatment tracking, and a computer program product capable of executing the aforementioned cardiac assessment method.
心血管相關疾病長年來位居國人及國外十大死因,包括心肌梗塞及心衰竭等等。以心肌梗塞而言,在診斷時一般會使用心導管手術,從受測者的腹股溝管或腋部切開約硬幣大小的傷口,再將導管沿著靜脈伸入欲檢測的心肌位置,藉由顯影劑或內視鏡的方式檢測血管及心臟內部的情況,或是透過核子攝影、電腦斷層掃描、心臟超音波等非侵入式的方式進行檢測。此外,也可紀錄受測者靜止休息或運動時的心電圖資料並進行判斷。 Cardiovascular diseases have been among the top ten causes of death in Taiwan and abroad for many years, including myocardial infarction and heart failure. For myocardial infarction, a cardiac catheterization procedure is generally used for diagnosis. A coin-sized incision is made in the subject's inguinal canal or axilla, and the catheter is inserted into the myocardial area to be tested along the vein. The blood vessels and the internal conditions of the heart are detected by contrast agents or endoscopes, or by non-invasive methods such as nuclear photography, computer tomography, and cardiac ultrasound. In addition, the electrocardiogram data of the subject at rest or during exercise can also be recorded and judged.
然而,由於心導管手術為侵入式檢測,因此手術時間較長且醫療資源耗費較多,同時患者需要較長的術後恢復時間。此外,無論是心導管手術、核子攝影、電腦斷層掃描或心臟超音波,都需要醫院的專屬檢測空間與儀器,以及透過專業醫事人員進行操作與判讀檢測結果,不僅提高檢測所需的成本,也降低檢測的便利性。 However, since cardiac catheterization is an invasive test, the operation takes a long time and consumes more medical resources. At the same time, patients need a longer recovery time after the operation. In addition, whether it is cardiac catheterization, nuclear radiography, computer tomography or cardiac ultrasound, it requires a dedicated testing space and equipment in the hospital, and professional medical personnel to operate and interpret the test results, which not only increases the cost of the test, but also reduces the convenience of the test.
另一方面,雖然在臨床上能利用心電圖進行常規檢測,但現有的心電圖資訊僅針對部份急性心肌梗塞的症狀,而無法針對非典型的心肌梗塞或其早期症狀提供有效的資訊。 On the other hand, although electrocardiograms can be used for routine clinical testing, existing electrocardiogram information only targets some symptoms of acute myocardial infarction and cannot provide effective information for atypical myocardial infarction or its early symptoms.
發明人遂竭其心智悉心研究,進而研發出一種可透過心電圖訊號對評估心臟的異常位置以及異常程度進行分類的心臟評估方法,以期達到便利性及降低檢測成本、減少專業人力依賴、適於早期預判以及療程追蹤的效果。 The inventor then devoted all his efforts to research and developed a cardiac assessment method that can classify the abnormal location and degree of the heart through electrocardiogram signals, in order to achieve convenience, reduce testing costs, reduce dependence on professional manpower, and be suitable for early prediction and treatment tracking.
本發明提供一種心臟評估方法,包括以下步驟:提供一心電圖訊號;依據心電圖訊號得到一體表電位向量;將體表電位向量與預先建立的一映射張量進行運算得到一心臟電位向量,其中映射張量是依據一參考心臟產生複數個異常位置及複數種異常程度而得出;以及依據心臟電位向量對心電圖訊號對應的一評估心臟的異常位置以及異常程度進行分類。 The present invention provides a heart assessment method, comprising the following steps: providing an electrocardiogram signal; obtaining a body surface potential vector according to the electrocardiogram signal; calculating the body surface potential vector with a pre-established mapping tensor to obtain a heart potential vector, wherein the mapping tensor is obtained by generating a plurality of abnormal positions and a plurality of abnormal degrees according to a reference heart; and classifying the abnormal position and abnormal degree of an assessed heart corresponding to the electrocardiogram signal according to the heart potential vector.
在一實施例中,上述的參考心臟為一虛擬心臟,且心臟評估方法還包括以下步驟:建立虛擬心臟的一模型;模擬模型的不同位置發生不同程度異常並產生複數個樣本訊號;以及對樣本訊號進行分類,產生對應的複數個模態向量,並依據模態向量建立映射張量。 In one embodiment, the reference heart is a virtual heart, and the heart assessment method further includes the following steps: establishing a model of the virtual heart; simulating different degrees of abnormalities at different locations of the model and generating a plurality of sample signals; and classifying the sample signals to generate a plurality of corresponding modal vectors, and establishing a mapping tensor based on the modal vectors.
在一實施例中,心臟評估方法還包括以下步驟:透過機器學習判定這些模態向量中對應於體表電位向量的至少一模態向量;得到體表電位向量在模態向量上的至少一權重特徵值以及對應的至少一權重向量;以及將權重特徵值以及權重向量組合得到心臟電位向量。 In one embodiment, the heart assessment method further includes the following steps: determining at least one modal vector corresponding to the body surface potential vector among these modal vectors through machine learning; obtaining at least one weighted eigenvalue of the body surface potential vector on the modal vector and at least one corresponding weight vector; and combining the weighted eigenvalue and the weight vector to obtain the heart potential vector.
在一實施例中,上述的機器學習透過稀疏表示式分類法(Sparse Representation Classification)判定模態向量,且心臟評估方法透過座標軸下降法(Coordinate Descent)得到權重特徵值以及權重向量。 In one embodiment, the above-mentioned machine learning determines the modal vector through sparse representation classification, and the heart assessment method obtains the weighted eigenvalue and weight vector through coordinate descent.
在一實施例中,心臟評估方法還包括以下步驟:對心電圖訊號進行前處理,得到複數個局部電位訊號,其中局部電位訊號的數量與心電圖訊號的 導程數相同;以及對這些局部電位訊號分別提取至少一特徵值,並依據特徵值得到體表電位向量。 In one embodiment, the heart assessment method further includes the following steps: pre-processing the electrocardiogram signal to obtain a plurality of local potential signals, wherein the number of local potential signals is the same as the number of leads of the electrocardiogram signal; and extracting at least one characteristic value from each of these local potential signals, and obtaining a body surface potential vector based on the characteristic value.
在一實施例中,上述的特徵值包括這些局部電位訊號中對應的一局部電位訊號的一J點幅值、一T波最小幅值、一T波最大幅值、一第一電位點幅值以及一第二電位點幅值,其中第一電位點為在局部電位訊號的S-T區段上距J點0.25倍J-T間隔的電位點,且第二電位點為在局部電位訊號的S-T區段上距J點0.5倍J-T間隔的電位點。 In one embodiment, the above-mentioned characteristic values include a J-point amplitude, a T-wave minimum amplitude, a T-wave maximum amplitude, a first potential point amplitude, and a second potential point amplitude of a local potential signal corresponding to these local potential signals, wherein the first potential point is a potential point at 0.25 times the J-T interval from the J point on the S-T segment of the local potential signal, and the second potential point is a potential point at 0.5 times the J-T interval from the J point on the S-T segment of the local potential signal.
在一實施例中,上述的參考心臟為一虛擬心臟,且心臟評估方法還包括以下步驟:將虛擬心臟依據異常位置以及異常程度建立一三維虛擬心臟影像。 In one embodiment, the reference heart is a virtual heart, and the heart assessment method further includes the following steps: creating a three-dimensional virtual heart image based on the abnormal position and degree of abnormality of the virtual heart.
在一實施例中,心臟評估方法還包括以下步驟:將三維虛擬心臟影像投影至一平面並進行濾波,得到一二維心臟分區影像。 In one embodiment, the heart assessment method further includes the following steps: projecting the three-dimensional virtual heart image onto a plane and filtering it to obtain a two-dimensional heart zoning image.
在一實施例中,上述的心電圖訊號的導程數小於13。 In one embodiment, the lead number of the above-mentioned electrocardiogram signal is less than 13.
除此之外,本發明還提供一種電腦程式產品,經由一電腦載入上述電腦程式並執行時,可執行上述心臟評估方法所執行的步驟。 In addition, the present invention also provides a computer program product, which can execute the steps performed by the above-mentioned heart assessment method when the above-mentioned computer program is loaded and executed by a computer.
藉此,本發明的心臟評估方法能將心電圖訊號與預先建立的映射張量進行運算,對評估心臟的異常位置以及異常程度進行分類,不僅可提高評估的便利性,降低檢測人力及成本,從而適用於早期預判以及療程追蹤。 Thus, the heart assessment method of the present invention can calculate the electrocardiogram signal with the pre-established mapping tensor to classify the abnormal location and degree of the heart, which can not only improve the convenience of assessment, but also reduce the manpower and cost of detection, and thus be suitable for early prediction and treatment tracking.
為讓本發明的上述特徵和優點能更明顯易懂,下文特舉實施例,並配合所附圖式作詳細說明如下。 In order to make the above features and advantages of the present invention more clearly understood, the following is a detailed description of the embodiments with the accompanying drawings.
1~11:區域 1~11: Area
P1:J點 P 1 : Point J
P2:T波最低點 P 2 : T wave lowest point
P3:T波最高點 P 3 : T wave peak
P4:第一電位點 P 4 : First potential point
P5:第二電位點 P5 : Second potential point
P、Q、R、S、T、U:波 P, Q, R, S, T, U: wave
S100、S100a:資料庫建立階段 S100, S100a: Database establishment phase
S200、S200a、S200b、S200c、S200d:評估階段 S200, S200a, S200b, S200c, S200d: Evaluation stage
S110~S140、S210~S260:步驟 S110~S140, S210~S260: Steps
圖1為本發明的心臟評估方法的第一實施例的步驟流程示意圖。 Figure 1 is a schematic diagram of the steps of the first embodiment of the heart assessment method of the present invention.
圖2為一虛擬心臟模型中(a)左前降支動脈;(b)左迴旋支動脈;(c)右冠狀動脈前支;以及(d)右冠狀動脈後支的示意圖。 Figure 2 is a schematic diagram of (a) the left anterior descending artery; (b) the left circumflex artery; (c) the anterior branch of the right coronary artery; and (d) the posterior branch of the right coronary artery in a virtual heart model.
圖3為本發明的心臟評估方法的第二實施例的步驟流程示意圖。 Figure 3 is a schematic diagram of the steps of the second embodiment of the heart assessment method of the present invention.
圖4為本發明的心臟評估方法的第三實施例的步驟流程示意圖。 Figure 4 is a schematic diagram of the steps of the third embodiment of the heart assessment method of the present invention.
圖5為在圖4的步驟S220b中提取特徵值的示意圖。 FIG5 is a schematic diagram of extracting feature values in step S220b of FIG4.
圖6為本發明的心臟評估方法的第四實施例的步驟流程示意圖。 Figure 6 is a schematic diagram of the steps of the fourth embodiment of the heart assessment method of the present invention.
圖7為本發明的心臟評估方法的第五實施例的步驟流程示意圖。 Figure 7 is a schematic diagram of the steps of the fifth embodiment of the heart assessment method of the present invention.
圖8為在圖7的步驟S250中建立的三維虛擬心臟影像的(a)拓樸圖;以及(b)上色拓樸圖。 FIG8 shows (a) a topographic map of the three-dimensional virtual heart image created in step S250 of FIG7; and (b) a colored topographic map.
圖9為本發明的心臟評估方法的第六實施例的步驟流程示意圖。 Figure 9 is a schematic diagram of the step flow of the sixth embodiment of the heart assessment method of the present invention.
圖10為在圖9的步驟S260中得到的(a)第一受測者;(b)第二受測者;以及(b)第三受測者的二維心臟分區影像的示意圖。 FIG. 10 is a schematic diagram of the two-dimensional cardiac zoning images of (a) the first subject; (b) the second subject; and (b) the third subject obtained in step S260 of FIG. 9 .
有關本發明之前述及其它技術內容、特點與功效,在以下配合參考圖式之較佳實施例的詳細說明中,將可清楚地呈現。值得一提的是,以下實施例所提到的方向用語,例如:上、下、左、右、前或後等,僅是參考附加圖式的方向。因此,使用的方向用語是用以說明,而非對本發明加以限制。此外,在下列的實施例中,相同或相似的元件或步驟將採用相同或相似的標號。 The above-mentioned and other technical contents, features and effects of the present invention will be clearly presented in the detailed description of the preferred embodiments with reference to the drawings below. It is worth mentioning that the directional terms mentioned in the following embodiments, such as up, down, left, right, front or back, etc., are only reference directions of the attached drawings. Therefore, the directional terms used are for explanation rather than limitation of the present invention. In addition, in the following embodiments, the same or similar elements or steps will use the same or similar labels.
請參考圖1,圖1為本發明的心臟評估方法的第一實施例的步驟流程示意圖。本實施例的心臟評估方法包括資料庫建立階段S100以及評估階段S200,其中資料庫建立階段S100可建立在評估階段中作為運算依據的映射張量 以及資料庫,且包括以下步驟:建立一虛擬心臟模型(參考心臟)的一模型(步驟S110);模擬模型的不同位置發生不同程度異常並產生複數個樣本訊號(步驟S120);對樣本訊號進行分類,產生對應的複數個模態向量,並依據模態向量建立一映射張量(步驟S130)。另一方面,評估階段S200可接收受測者的心電圖訊號後,對心電圖訊號進行分析及分類,且包括以下步驟:提供一心電圖訊號(步驟S210);依據心電圖訊號得到一體表電位向量(步驟S220);將體表電位向量與映射張量進行運算得到一心臟電位向量(步驟S230);以及依據心臟電位向量對心電圖訊號對應的一評估心臟的異常位置以及異常程度進行分類(步驟S240)。 Please refer to FIG. 1, which is a schematic diagram of the steps of the first embodiment of the heart evaluation method of the present invention. The heart evaluation method of the present embodiment includes a database establishment phase S100 and an evaluation phase S200, wherein the database establishment phase S100 can establish a mapping tensor and a database as a basis for calculation in the evaluation phase, and includes the following steps: establishing a model of a virtual heart model (reference heart) (step S110); simulating different degrees of abnormality at different locations of the model and generating a plurality of sample signals (step S120); classifying the sample signals, generating a plurality of corresponding modal vectors, and establishing a mapping tensor according to the modal vectors (step S130). On the other hand, the evaluation stage S200 can receive the ECG signal of the subject, analyze and classify the ECG signal, and includes the following steps: providing an ECG signal (step S210); obtaining a body surface potential vector according to the ECG signal (step S220); calculating the body surface potential vector and the mapping tensor to obtain a heart potential vector (step S230); and classifying the abnormal position and degree of abnormality of an evaluated heart corresponding to the ECG signal according to the heart potential vector (step S240).
詳細而言,人體的心臟電位訊號傳導至體表後可被非侵入式裝置的電訊號電極偵測得到體表訊號。換言之,心臟電位訊號以及體表訊號存在著特定的映射關係。心電圖檢測方法是藉由儀器讀取到的體表訊號,由專業醫事人員結合過往的專業知識以及檢測經驗判讀,方能確認受測者的心臟狀態。本實施例的心臟評估方法採用傳統電生理理論,亦即先建立虛擬心臟的模型,由虛擬心臟模型模擬欲評估的心臟態樣,產生對應的心臟電位訊號後,再將產生的心臟電位訊號透過映射張量轉換為體表訊號,調整並修正模型以及映射張量,使得產生的體表訊號接近真實情況。一旦完成虛擬心臟模型的調整及修正,日後評估時無需即時將儀器連接於人體,僅需取得從受測者量測得到的體表訊號,即可透過建立完成的模型以及映射張量得知受測者的體表訊號是否與虛擬心臟模型發生異常時產生的體表訊號相符,從而確認受測者的心臟是否發生異常、發生異常的位置甚至是異常程度。 In detail, the human body's cardiac potential signals are transmitted to the body surface and can be detected by the electrical signal electrodes of non-invasive devices to obtain body surface signals. In other words, there is a specific mapping relationship between cardiac potential signals and body surface signals. The electrocardiogram detection method is to read the body surface signals obtained by the instrument, and professional medical personnel can combine past professional knowledge and detection experience to interpret and confirm the heart status of the subject. The cardiac assessment method of this embodiment adopts traditional electrophysiological theory, that is, a virtual heart model is first established, and the virtual heart model simulates the heart state to be assessed to generate a corresponding cardiac potential signal. The generated cardiac potential signal is then converted into a body surface signal through a mapping tensor, and the model and the mapping tensor are adjusted and corrected so that the generated body surface signal is close to the actual situation. Once the adjustment and correction of the virtual heart model is completed, there is no need to connect the instrument to the human body in real time for future assessments. It is only necessary to obtain the body surface signals measured from the subject. Through the established model and mapping tensor, it can be known whether the subject's body surface signals are consistent with the body surface signals generated when the virtual heart model is abnormal, thereby confirming whether the subject's heart is abnormal, the location of the abnormality, and even the degree of the abnormality.
因此,在資料庫建立階段S100中,會先建立虛擬心臟的三維模型。本實施例透過電腦斷層造影取得真實心臟特定方向離散的斷層影像,並透過濾 波(例如是中位數濾波)、調整造影參數(例如是亨氏單位)以及平滑處理等程序,結合有限元素法(finite element method,FEM)模擬出真實心臟的拓樸外形以及內部構造,即上述的虛擬心臟模型。 Therefore, in the database establishment stage S100, a three-dimensional model of the virtual heart is first established. This embodiment obtains discrete cross-sectional images of a real heart in a specific direction through computer tomography, and simulates the topological shape and internal structure of the real heart through filtering (such as median filtering), adjusting imaging parameters (such as Hounsfield units) and smoothing, combined with the finite element method (FEM), i.e. the above-mentioned virtual heart model.
之後,依據心臟的電生理理論重建心臟電位的激發時間序列,由於真實心臟包括了不同的神經節點、神經纖維以及肌肉纖維,透過模擬這些組織的電導速率以及電導路徑可得出複數個時間序列,再透過帕松方程式(Poisson’s equation)計算得出各個電流通過的實際路徑,得到各個組織不同的電位時間序列,進一步依據實際心臟的電生理理論產生樣本訊號。 Afterwards, the time series of cardiac potential excitation is reconstructed based on the electrophysiological theory of the heart. Since the real heart includes different nerve nodes, nerve fibers and muscle fibers, multiple time series can be obtained by simulating the conductivity rate and conductivity pathway of these tissues. The actual pathway of each current flow is calculated by Poisson’s equation, and different potential time series of each tissue are obtained. Sample signals are further generated based on the electrophysiological theory of the real heart.
請參考圖2,圖2為一虛擬心臟模型中(a)左前降支動脈;(b)左迴旋支動脈;(c)右冠狀動脈前支;以及(d)右冠狀動脈後支的示意圖。當感興趣的偵測異常病徵為心肌梗塞時,由於心肌梗塞的起因之一是這些供給心肌氧氣及血液的動脈產生硬化或栓塞,造成心肌缺血而無法正常收縮。因此,在本實施例中將虛擬心臟模型以左前降支(left anterior descending,LAD)動脈、左迴旋支(left circumflex,LCX)動脈以及右冠狀動脈(right coronary artery,RCA)進行初步分類,每個類別又各自細分為三、三及五個區域,藉此模擬不同區域缺血時的電位狀況。經由臨床經驗以及動脈中血液流向的上下游關係,可定義出如表一所示的26種缺血區域模式(異常位置)。 Please refer to Figure 2, which is a schematic diagram of (a) the left anterior descending artery; (b) the left circumflex artery; (c) the anterior branch of the right coronary artery; and (d) the posterior branch of the right coronary artery in a virtual heart model. When the abnormal symptom of interest is myocardial infarction, one of the causes of myocardial infarction is the sclerosis or embolism of these arteries that supply oxygen and blood to the myocardium, resulting in myocardial ischemia and failure to contract normally. Therefore, in this embodiment, the virtual heart model is initially classified into the left anterior descending (LAD) artery, the left circumflex (LCX) artery, and the right coronary artery (RCA), and each category is further divided into three, three, and five regions, so as to simulate the potential state of ischemia in different regions. Based on clinical experience and the upstream and downstream relationship of blood flow in the artery, 26 ischemic regional patterns (abnormal locations) can be defined as shown in Table 1.
具體而言,本實施例的心臟評估方法主要以12導程的心電圖訊號作為評估用的輸入參數,但本發明並不限定於此,根據實際的硬體規格或是對於評估結果有更精確的要求,心臟評估方法所使用的心電圖訊號也可以使用較低導程數(例如單導程至11導程)的心電圖訊號,可有效地減少所需的時間及成本;或是使用更多導程(例如24、48或64導程以上)的心電圖訊號,透過高效能的電腦進行運算以得到更加精確的結果。此外,評估的病症也不限定於心肌梗塞,還可包括心衰竭、心室肥大等情形。進一步考慮相鄰區域邊界血管分布的實際情況,上述的26種缺血區域模式可進一步地擴增或縮減,再加上隨機配對提高區域的組合可能,從而產生出1638種不重複的12導程電位分佈情形,之後再將這1638種不重複的電位分佈情形與5種缺血的嚴重程度(異常程度)搭配,可進一步組合出8190筆12導程的心電圖訊號資料庫,即圖1中步驟S120所示的樣本訊號。 Specifically, the cardiac evaluation method of the present embodiment mainly uses 12-lead electrocardiogram signals as input parameters for evaluation, but the present invention is not limited thereto. According to actual hardware specifications or more accurate requirements for evaluation results, the electrocardiogram signals used in the cardiac evaluation method can also use electrocardiogram signals with lower lead numbers (e.g., single lead to 11 leads), which can effectively reduce the required time and cost; or use electrocardiogram signals with more leads (e.g., 24, 48 or 64 leads or more) to obtain more accurate results through high-performance computers. In addition, the evaluated diseases are not limited to myocardial infarction, but can also include heart failure, ventricular hypertrophy, etc. Further considering the actual distribution of blood vessels at the borders of adjacent regions, the above 26 ischemic regional patterns can be further expanded or reduced, and random pairing can be used to increase the possibility of regional combinations, thereby generating 1638 non-repetitive 12-lead potential distributions. These 1638 non-repetitive potential distributions are then combined with 5 ischemic severity levels (abnormality levels) to further combine 8190 12-lead ECG signal databases, i.e., the sample signals shown in step S120 in Figure 1.
值得一提的是,上述5種缺血的嚴重程度是透過跨細胞電位決定,在本實施例中以縮小靜止電位振幅(例如分別縮小為正常電位振幅的93%、90%、85%、80%以及50%)以及延遲激發電位時間作為嚴重程度1-5的指標值,但本發明對此並不加以限制,依據評估人員或評估症狀的實際需求,使用者也可藉由不同指標值定義相異的嚴重程度分類,作為建立資料庫時的依據。 It is worth mentioning that the severity of the above five types of ischemia is determined by transcellular potential. In this embodiment, the reduction of resting potential amplitude (for example, to 93%, 90%, 85%, 80% and 50% of the normal potential amplitude) and the delay of the excitation potential time are used as the index values of severity 1-5, but the present invention is not limited to this. According to the actual needs of the assessor or the assessment of symptoms, the user can also define different severity classifications by different index values as the basis for establishing a database.
由於體表心電圖訊號是一種準週期訊號,因此可透過機器學習(例如是ANN神經網路)或人工的方式將模擬產生的缺血體表心電圖訊號正規化後加以排列,使這分別對應於虛擬心臟模型(參考心臟)的複數個異常位置以及複數種異常程度的8190筆心電圖訊號形成一張量。由於各個異常位置以及各個異常程度的組合均對應於虛擬心臟的一個模態,因此這些心電圖訊號所對應的向量又被定義為模態向量v。藉此,可將模態向量v依據對應的動脈進行排列成上述的映射張量A,即:
其中A Anterior 、A Lateral 以及AInferior分別代表映射張量A中前支動脈、側支動脈以及下支動脈的子映射張量,v A、v L以及v I則分別代表在各個子映射張量中的權重向量。因此,若將體表電位以向量型式表示,即定義出一體表電位向量y以及此體表電位向量y對應至虛擬心臟模型的一心臟電位向量x,則映射張量A、心臟電位向量x以及體表電位向量y應滿足下列式子表示,即:Ax=y Where A Anterior , A Lateral and A Inferior represent the sub-mapping tensors of the anterior artery, lateral artery and inferior artery in the mapping tensor A, respectively, and v A , v L and v I represent the weight vectors in each sub-mapping tensor. Therefore, if the body surface potential is represented in vector form, that is, a body surface potential vector y is defined and the body surface potential vector y corresponds to a heart potential vector x of the virtual heart model, then the mapping tensor A, the heart potential vector x and the body surface potential vector y should satisfy the following expression, namely: Ax = y
由於映射張量A以及體表電位向量y為已知,因此只要求解得出心臟電位向量x,即可依據提供的複數導程心電圖訊號得出此複數導程心電圖訊號對應的一評估心臟所屬的模態,並對評估心臟的異常位置以及異常程度進行分類,或將上述分類結果提供給醫事人員,作為判斷心肌梗塞時的參考依據。 Since the mapping tensor A and the body surface potential vector y are known, it is only necessary to solve for the heart potential vector x , and then the mode to which the evaluated heart corresponds to the provided complex lead electrocardiogram signal can be obtained, and the abnormal location and degree of the abnormality of the evaluated heart can be classified, or the above classification results can be provided to medical personnel as a reference for judging myocardial infarction.
請一併參考圖1及圖3,其中圖3為本發明的心臟評估方法的第二實施例的步驟流程示意圖。本實施例的心臟評估方法與第一實施例的心臟評估方法大致相似,主要的差異在於:本實施例的心臟評估方法的資料庫建立階段S100a還包括提供複數個真實案例訊號,並透過真實案例訊號對映射張量進行驗證(步驟S140)。 Please refer to FIG. 1 and FIG. 3 , wherein FIG. 3 is a schematic diagram of the step flow of the second embodiment of the heart assessment method of the present invention. The heart assessment method of this embodiment is roughly similar to the heart assessment method of the first embodiment, and the main difference is that the database establishment stage S100a of the heart assessment method of this embodiment also includes providing a plurality of real case signals, and verifying the mapping tensor through the real case signals (step S140).
詳細而言,在映射張量A以及資料庫的建立階段,可從臨床案例中取得真實發生心肌梗塞的案例對應的心電圖訊號,將這些心電圖訊號透過映射張量A進行求解得到對應的心臟電位訊號,並確認得到的心臟電位訊號對應的心臟模態是否與虛擬心臟模型上的異常位置以及異常程度相符,從而驗證映射張量A並進一步提高演算模型的可靠度。在本實施例中,用以與映射張量A進行驗證的真實案例訊號的數量為148筆,但依據實際需求以及取得的案例數量,可增加或減少驗證用的真實案例訊號,本發明對此不加以限制。 In detail, during the establishment of the mapping tensor A and the database, the electrocardiogram signals corresponding to the real cases of myocardial infarction can be obtained from the clinical cases, and these electrocardiogram signals are solved through the mapping tensor A to obtain the corresponding cardiac potential signals, and it is confirmed whether the cardiac mode corresponding to the obtained cardiac potential signal is consistent with the abnormal position and degree of abnormality on the virtual heart model, thereby verifying the mapping tensor A and further improving the reliability of the calculation model. In this embodiment, the number of real case signals used for verification with the mapping tensor A is 148, but according to actual needs and the number of cases obtained, the real case signals used for verification can be increased or decreased, and the present invention does not limit this.
請一併參考圖3及圖4,其中圖4為本發明的心臟評估方法的第三實施例的步驟流程示意圖。本實施例的心臟評估方法與第二實施例的心臟評估方法大致相似,主要的差異在於:本實施例的心臟評估方法的評估階段S200a還包括對心電圖訊號進行前處理,得到複數個局部電位訊號(步驟S220a);以及對 這些局部電位訊號分別提取至少一特徵值,並依據這些特徵值得到體表電位向量(步驟S220b)。 Please refer to Figures 3 and 4, wherein Figure 4 is a schematic diagram of the step flow of the third embodiment of the heart evaluation method of the present invention. The heart evaluation method of this embodiment is roughly similar to the heart evaluation method of the second embodiment, and the main difference is that: the evaluation stage S200a of the heart evaluation method of this embodiment also includes pre-processing the electrocardiogram signal to obtain a plurality of local potential signals (step S220a); and extracting at least one characteristic value from each of these local potential signals, and obtaining the body surface potential vector based on these characteristic values (step S220b).
請一併參考圖4及圖5,其中圖5為在圖4的步驟S220b中提取特徵值的示意圖。由於從受測者身上量測得到的原始心電圖訊號可能含有雜訊,且其運算所需的特徵值表現較不明顯。為此,可對原始心電圖的訊號進行前處理,從而提高後續運算結果的精確性。 Please refer to Figures 4 and 5, where Figure 5 is a schematic diagram of extracting feature values in step S220b of Figure 4. Since the original electrocardiogram signal measured from the subject may contain noise, and the feature values required for its calculation are not obvious. Therefore, the original electrocardiogram signal can be pre-processed to improve the accuracy of the subsequent calculation results.
詳細而言,本實施例使用的心電圖訊號例如是12導程體表心電圖訊號,這些心電圖訊號可以是直接從受測者身上即時量測得到,或者是預先量測後儲存於電腦或醫院資料庫並透過傳輸接收得到,本發明對此不加以限制。當受測者的原始心電圖訊號具有雜訊時,可使用例如0.05-40赫茲的頻寬濾波器濾除心律不整以及無法對齊的心搏訊號,並進一步利用中位數濾波器對原訊號離散取樣,得到較為乾淨的訊號。接著,透過儀器偵測訊號中QRS波的表現,使得訊號的準週期特性更為明顯。此外,還可利用Pan Tompkin演算法判斷相鄰週期的時距,藉此提取出準週期訊號中的單一週期訊號。最後,還可將週期訊號中的振盪取平均進行平滑處理,得到對應於原始心電圖訊號但較為清晰的局部電位訊號。 In detail, the electrocardiogram signal used in this embodiment is, for example, a 12-lead surface electrocardiogram signal. These electrocardiogram signals can be directly measured from the subject in real time, or can be measured in advance and stored in a computer or hospital database and obtained through transmission and reception. The present invention is not limited to this. When the subject's original electrocardiogram signal has noise, a bandwidth filter of, for example, 0.05-40 Hz can be used to filter out arrhythmias and unaligned heartbeat signals, and further a median filter is used to discretely sample the original signal to obtain a cleaner signal. Then, the QRS wave in the signal is detected by the instrument, making the quasi-periodic characteristics of the signal more obvious. In addition, the Pan Tompkin algorithm can be used to determine the time interval between adjacent cycles, thereby extracting a single cycle signal from the quasi-periodic signal. Finally, the oscillation in the periodic signal can be averaged and smoothed to obtain a local potential signal that corresponds to the original electrocardiogram signal but is clearer.
在完成訊號前處理步驟後,可進一步從這些局部電位訊號中提取運算所需的特徵值。具體而言,由於心電圖訊號中的S-T區段與心肌梗塞表現具有較強的相關性,因此本實施例從心電圖訊號中提取局部電位訊號,並對這些局部電位訊號的S-T區段各提取5個特徵值,這些特徵值例如但不限定是J點P1的電位幅值、T波最低點P2的最小幅值、T波最高點P3的最大幅值、第一電位點P4的電位幅值以及第二電位點P5的電位幅值,其中第一電位點P4為此局部電位訊號的S- T區段上距J點P1 0.25倍J-T間隔的電位點,而第二電位點P5為此局部電位訊號的S-T區段上距J點P1 0.5倍J-T間隔的電位點。因為每個導程都具有這5個特徵值,因此可從上述的12導程心電圖訊號中得到60個特徵值,並以向量形式依序排列,從而得到一個60×1的體表電位向量y。 After completing the signal pre-processing step, the eigenvalues required for calculation can be further extracted from these local potential signals. Specifically, since the ST segment in the electrocardiogram signal has a strong correlation with the manifestation of myocardial infarction, the present embodiment extracts local potential signals from the electrocardiogram signal, and extracts 5 eigenvalues for each ST segment of these local potential signals. These eigenvalues include, but are not limited to, the potential amplitude of the J point P1 , the minimum amplitude of the lowest point of the T wave P2 , the maximum amplitude of the highest point of the T wave P3 , the potential amplitude of the first potential point P4 , and the potential amplitude of the second potential point P5 , wherein the first potential point P4 is a potential point on the ST segment of this local potential signal that is 0.25 times the JT interval away from the J point P1 , and the second potential point P5 is a potential point on the ST segment of this local potential signal that is 0.5 times the JT interval away from the J point P1 . Because each lead has these five eigenvalues, 60 eigenvalues can be obtained from the above 12-lead ECG signal and arranged in sequence in vector form to obtain a 60×1 body surface potential vector y .
因此,在第三實施例的心臟評估方法中,可進一步將方程式的條件確立為:Ax=y A R 60×8190,x R 8190×1,y R 60×1 Therefore, in the heart evaluation method of the third embodiment, the condition of the equation can be further established as: Ax = y A R 60×8190 , x R 8190×1 , y R 60×1
請一併參考圖4及圖6,其中圖6為本發明的心臟評估方法的第四實施例的步驟流程示意圖。本實施例的心臟評估方法與第三實施例的心臟評估方法大致相似,主要的差異在於:本實施例的心臟評估方法的評估階段S200b還包括透過機器學習判定這些模態向量中對應於體表電位向量的至少一模態向量(步驟S230a);得到體表電位向量在模態向量上的至少一權重特徵值以及對應的至少一權重向量(步驟S230b);以及將權重特徵值以及權重向量組合得到心臟電位向量(步驟S230c)。 Please refer to FIG. 4 and FIG. 6 , where FIG. 6 is a schematic diagram of the step flow of the fourth embodiment of the heart assessment method of the present invention. The heart assessment method of this embodiment is roughly similar to the heart assessment method of the third embodiment, and the main difference is that: the assessment stage S200b of the heart assessment method of this embodiment also includes determining at least one modal vector corresponding to the body surface potential vector among these modal vectors through machine learning (step S230a); obtaining at least one weighted eigenvalue of the body surface potential vector on the modal vector and at least one corresponding weight vector (step S230b); and combining the weighted eigenvalue and the weight vector to obtain the heart potential vector (step S230c).
詳細而言,在第三實施例的心臟評估方法中可以發現,作為評估依據的特徵值僅有60個,但即使是尚未藉由節點擴增或縮減的缺血位置及缺血程度組合亦有26×5=130種組合,因此若直接求解此不定方程式有可能無法得到唯一解,或者是需要設定數量眾多的邊界條件才得以求解,且求解時需耗費大量的運算資源及時間。然而,依據傳統電生理的模擬過程,可得知特定動脈栓塞與其它動脈無明顯交互關係,因此若假設體表電位向量y 可被分類為第i類
的模態,其中i [1,130],且以上述前支動脈、側支動脈以及下支動脈的順序排列各個模態向量v時,可進一步得到以下方程式:
其中ω i 以及v i 分別為模態向量v中對應於體表電位向量y的至少一模態向量v上的至少一權重特徵值以及對應的至少一權重向量,且上述對應的權重向量可利用機器學習,例如是稀疏表示式分類法(Sparse Representation Classification)進行判定,從而將體表電位向量y可能對應到的8190個模態向量v縮減為數量較少的權重向量v i ,減少求解時的未知條件。此外,將心臟電位向量x 0定義為:
則映射張量A、心臟電位向量x 0以及體表電位向量y可以下列式子表示:
因為值域的維度60遠小於映射張量A的行空間維度8190,且映射張量A中大部份的元素均為0,使得x 0足夠稀疏從而符合套索(Lasso)算法的拉格朗日型式,因此可進一步透過座標軸下降法,定義損失函數L,即:
x=[x 1,x 2,…,x 8190] T 。
為了求得損失函數L的最小值,可將損失函數L對心臟電位向量x 0中的任意元素x L 偏微分,解出的元素x L =x i即為對應類別的權重特徵值ω i,因此可將體表電位向量y分類至特定權重特徵值ω i 與權重向量v i 的線性組合。又因為各個模態對應於不同的缺血位置分佈以及不同的缺血程度,因此使用者可在較少運算資源的情況下,以接近解析求解的方式對評估心臟的缺血位置以及缺血程度做出高準確度的分類,大幅提高了心臟評估方法的效能。 In order to obtain the minimum value of the loss function L , the loss function L can be partially differentiated with respect to any element x L in the cardiac potential vector x 0 , and the element x L = xi obtained is the weighted eigenvalue ω i of the corresponding category, so the body surface potential vector y can be classified into a linear combination of a specific weighted eigenvalue ω i and a weight vector vi . Because each mode corresponds to a different distribution of ischemic locations and different degrees of ischemia, users can use less computing resources to make a highly accurate classification of the ischemic location and degree of ischemia in a manner close to analytical solution, greatly improving the performance of the cardiac assessment method.
請一併參考圖6及圖7,其中圖7為本發明的心臟評估方法的第五實施例的步驟流程示意圖。本實施例的心臟評估方法與第四實施例的心臟評估方法大致相似,主要的差異在於:本實施例的心臟評估方法在評估階段S200c還包括將虛擬心臟依據異常位置以及異常程度建立一三維虛擬心臟影像(步驟S250)。 Please refer to FIG. 6 and FIG. 7 , where FIG. 7 is a schematic diagram of the step flow of the fifth embodiment of the heart assessment method of the present invention. The heart assessment method of this embodiment is roughly similar to the heart assessment method of the fourth embodiment, and the main difference is that the heart assessment method of this embodiment also includes establishing a three-dimensional virtual heart image of the virtual heart according to the abnormal position and abnormal degree in the assessment stage S200c (step S250).
請一併參考圖7及圖8,其中圖8為在圖7的步驟S250中建立的三維虛擬心臟影像的(a)拓樸圖;以及(b)上色拓樸圖。當使用者透過心臟電位向量x得到評估心臟對應於模態向量v的類別時,即可得知評估心臟的缺血位置以及缺血程度,此時可將映射張量A中心臟電位向量x對應的模態向量v結合虛擬心臟模型投影至三維座標空間中,形成藉由有限元素建立的拓樸圖,或是進一步將拓樸圖中不同的心臟區域依據缺血程度賦予不同的顏色,可提供醫事人員類似於心臟核子醫學檢查造影的視覺資訊,更有利於醫事人員的判讀。 Please refer to FIG. 7 and FIG. 8 , where FIG. 8 shows (a) a topography diagram of the three-dimensional virtual heart image created in step S250 of FIG. 7 ; and (b) a colored topography diagram. When the user obtains the category of the modal vector v corresponding to the assessed heart through the cardiac potential vector x , the ischemic location and degree of the assessed heart can be known. At this time, the modal vector v corresponding to the cardiac potential vector x in the mapping tensor A can be combined with the virtual heart model and projected into the three-dimensional coordinate space to form a topological map established by finite elements, or different cardiac regions in the topological map can be given different colors according to the degree of ischemia, which can provide medical personnel with visual information similar to cardiac nuclear medicine examination angiography, which is more conducive to medical personnel's judgment.
請一併參考圖7及圖9,其中圖9為本發明的心臟評估方法的第六實施例的步驟流程示意圖。本實施例的心臟評估方法與第五實施例的心臟評估方法大致相似,主要的差異在於:本實施例的心臟評估方法在評估階段S200d還包括將三維虛擬心臟影像投影至一平面並進行濾波,得到一二維心臟分區影像(步驟S260)。 Please refer to Figures 7 and 9, wherein Figure 9 is a schematic diagram of the step flow of the sixth embodiment of the heart assessment method of the present invention. The heart assessment method of this embodiment is roughly similar to the heart assessment method of the fifth embodiment, and the main difference is that the heart assessment method of this embodiment also includes projecting the three-dimensional virtual heart image onto a plane and filtering it in the assessment stage S200d to obtain a two-dimensional heart zoning image (step S260).
請一併參考圖9及圖10,其中圖10為在圖9的步驟S260中得到的(a)第一受測者;(b)第二受測者;以及(b)第三受測者的二維心臟分區影像的示意圖。雖然三維虛擬心臟影像可完整呈現評估心臟的缺血區域以及缺血程度,然而醫事人員需環視整個虛擬心臟模型後才能確認評估心臟的完整情況,無法快速且直觀地呈現醫學診斷的資訊。因此,可進一步將三維虛擬心臟影像投影為二維影像,以圓形圖為例,可透過下列式子決定三維虛擬心臟影像的座標(x n,y n,z n)對應至二維心臟影像中的新座標(x n’,y n’):
得到新座標(x n’,y n’)後,可透過旋轉矩陣決定新座標(x n’,y n’)與原座標(x n,y n)之間的旋轉角度,即:
投影完成後可經由圖形遮罩處理、濾波(例如是中位數濾波器)並調整成色,形成如圖10(a)、圖10(b)及圖10(c)所示的二維心臟分區影像,其中各個圓形圖從正上方沿順時針方向的不同區塊分別代表虛擬心臟模型的右後外側支動脈、側支動脈、前支動脈以及下支動脈區域,深色代表血液流量充足,而顏色愈淺則代表缺血程度愈加嚴重。藉此,醫事人員可快速地確認評估心臟的缺血位置以及缺血程度,更進一步地提昇心臟評估方法的效能。 After the projection is completed, it can be processed by graphic masking, filtering (such as a median filter) and color adjustment to form a two-dimensional heart zoning image as shown in Figure 10 (a), Figure 10 (b) and Figure 10 (c). The different blocks in the circular graph from the top along the clockwise direction represent the right posterolateral artery, lateral artery, anterior artery and inferior artery of the virtual heart model. Dark colors represent sufficient blood flow, while lighter colors represent more severe ischemia. In this way, medical personnel can quickly confirm and evaluate the ischemic location and degree of the heart, further improving the efficiency of the heart assessment method.
值得一提的是,雖然在本實施例中以先建立三維虛擬心臟影像,再將三維虛擬心臟影像投影至平面的方式形成二維心臟分區影像,但本發明並不限定於此。當使用者沒有參考三維虛擬心臟影像的需求時,也可直接將心臟電位向量x 0所對應的異常位置以及異常程度映射至平面形成影像,藉此省去構築三維模型的時間及資源。 It is worth mentioning that, although in this embodiment, a three-dimensional virtual heart image is first created and then projected onto a plane to form a two-dimensional heart zoning image, the present invention is not limited thereto. When the user does not need to refer to a three-dimensional virtual heart image, the abnormal position and degree of abnormality corresponding to the heart potential vector x0 can also be directly mapped onto a plane to form an image, thereby saving the time and resources of constructing a three-dimensional model.
事實上,本發明所提供的心臟評估方法可藉由電腦程式,或儲存上述電腦程式的電腦可讀取紀錄媒體(例如光碟、USB或硬碟等等)實現。當電腦載入上述電腦程式並執行時,可執行以下步驟:提供一心電圖訊號;依據心電圖訊號得到一體表電位向量;將體表電位向量與預先建立的一映射張量進行運算得到一心臟電位向量,其中映射張量依據一參考心臟產生複數個異常位置及複數種異常程度而得出;以及依據心臟電位向量對心電圖訊號對應的一評估心臟的異常位置以及異常程度進行分類。 In fact, the heart assessment method provided by the present invention can be implemented by a computer program, or a computer-readable recording medium (such as a CD, USB or hard disk, etc.) storing the above computer program. When the computer loads the above computer program and executes it, the following steps can be executed: providing an electrocardiogram signal; obtaining a body surface potential vector based on the electrocardiogram signal; calculating the body surface potential vector with a pre-established mapping tensor to obtain a heart potential vector, wherein the mapping tensor is obtained based on a reference heart to generate a plurality of abnormal locations and a plurality of abnormal degrees; and classifying the abnormal location and abnormal degree of an assessed heart corresponding to the electrocardiogram signal based on the heart potential vector.
具體而言,電腦程式可包括一接收單元、一評估單元、一資料庫以及一輸出單元,其中接收單元用於接收量測得來或事先儲存的心電圖訊號;評估單元可將接收單元接收的心電圖訊號與依據資料庫中模態向量v建立的映射張量A透過上述的心臟評估方法進行運算得到心臟電位向量x,對評估心臟的異 常位置以及異常程度進行分類後,再透過輸出單元輸出分類結果,或進一步顯示如圖8及圖10所示的三維虛擬心臟影像以及二維心臟分區影像。由於上述的過程透過程式自動化實現,大幅降低了一般檢測所需的人力及成本,因此可適用於早期預判以及療程追蹤。 Specifically, the computer program may include a receiving unit, an evaluation unit, a database, and an output unit, wherein the receiving unit is used to receive the measured or pre-stored electrocardiogram signal; the evaluation unit may calculate the electrocardiogram signal received by the receiving unit and the mapping tensor A established according to the modal vector v in the database through the above-mentioned heart evaluation method to obtain the heart potential vector x , and after classifying the abnormal position and degree of abnormality of the evaluated heart, the classification result is output through the output unit, or further displayed as shown in Figures 8 and 10. Since the above process is realized through program automation, the manpower and cost required for general detection are greatly reduced, so it can be applied to early prediction and treatment tracking.
本發明在上文中已以較佳實施例揭露,然熟習本項技術者應理解的是,上述實施例僅用於描繪本發明,而不應解讀為限制本發明之範圍。且應注意的是,舉凡與上述實施例等效之變化與置換,均應設為涵蓋於本發明之範疇內。因此,本發明之保護範圍當以申請專利範圍所界定者為準。 The present invention has been disclosed in the above text with preferred embodiments, but those familiar with the present technology should understand that the above embodiments are only used to describe the present invention and should not be interpreted as limiting the scope of the present invention. It should also be noted that all changes and substitutions equivalent to the above embodiments should be included in the scope of the present invention. Therefore, the scope of protection of the present invention shall be based on the scope defined by the patent application.
S100:資料庫建立階段 S100: Database creation phase
S200:評估階段 S200: Evaluation phase
S110~S130、S210~S240:步驟 S110~S130, S210~S240: Steps
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